Putative optimal densities for regular spherical polygon packings are computed via manifold optimization, with maximality established for several instances through an SDP formulation of an extended Lovász theta number on SO(3).
Bochner, Hilbert distances and positive definite functions,Ann
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Bounding the density of spherical polygon packings
Putative optimal densities for regular spherical polygon packings are computed via manifold optimization, with maximality established for several instances through an SDP formulation of an extended Lovász theta number on SO(3).